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Small point, consistent use of BCE/CE is preferable mixed usage or use of BC/AD. Thou shouldst not cross the streams... https://en.wikipedia.org/wiki/Common_Era

BCE/CE is preferable to BC/AD in all cases.

No it is not. BC/AD has been in use for hundreds of years and is just fine. You can use BCE/CE if you want but it is no more valid than BC/AD.